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en.wikipedia.org/wiki/Diophantine_equation
In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, ... The algorithmic resolution of Diophantine equations.

www.geometer.org/mathcircles/diophantine.pdf
Introduction to Diophantine Equations Tom Davis tomrdavis@earthlink.net ... What we have just solved is known as a Diophantine equation – an equation whose

mathworld.wolfram.com/DiophantineEquation.html
Diophantine Equation. A Diophantine equation is an equation in which only integer solutions are allowed. Hilbert's 10th problem asked if an algorithm existed for ...

www.wikihow.com/SolveaLinearDiophantineEquation
Edit Article How to Solve a Linear Diophantine Equation. Questions and Answers. A Diophantine equation is an algebraic equation with the additional restriction that ...

en.wikipedia.org/wiki/Diophantine_set
A Diophantine set is a subset S of N j [1] ... Hilbert's tenth problem asks for a general algorithm deciding the solvability of Diophantine equations.

www.artofproblemsolving.com/wiki/index.php/Diophantine_equation
Diophantine equations are named for the ancient Greek/Alexandrian mathematician Diophantus. ... A Diophantine equation in the form is known as a linear combination.

mathforum.org/library/drmath/sets/select/dm_diophantine.html
Diophantine Equations, a selection of answers from the Dr. Math archives. Diophantine Equations We have searched the Web for information about Diophantine equations.

www.ms.uky.edu/~carl/ma330/projects/diophanfin1.html
DIOPHANTINE EQUATIONS. Submitted by: Aaron Zerhusen, Chris Rakes, & Shasta Meece. MA 330002. Dr. Carl Eberhart. February 16, 1999. DIOPHANTINE EQUATIONS

www.britannica.com/topic/Diophantineequation
Diophantine equation, equation involving only sums, products, and powers in which all the constants are integers and the only solutions of interest are integers.

math.stackexchange.com/questions/tagged/diophantineequations
As far as I understand, the decidability of solvability of diophantine equations over the rationals is an open problem. What about the decidability of solvability ...